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Finding the Fourth Proportional to 150.53, 225.80 and 118

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Solution

The fourth proportional to 150.53, 225.80 and 118 is: 177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.53 : 225.80 = 118 : x
  2. Step 2: Convert to fraction form
    150.53/225.80 = 118/x
  3. Step 3: Cross multiply
    150.53x = 225.80 × 118
  4. Step 4: Simplify right side
    150.53x = 26,644.40
  5. Step 5: Solve for x
    x = 26,644.40/150.53
  6. Step 6: Final answer
    x = 177.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.